{"id":"https://openalex.org/W4410567345","doi":"https://doi.org/10.1007/s10957-025-02704-6","title":"A discrete Consensus-Based Global Optimization Method with Noisy Objective Function","display_name":"A discrete Consensus-Based Global Optimization Method with Noisy Objective Function","publication_year":2025,"publication_date":"2025-05-21","ids":{"openalex":"https://openalex.org/W4410567345","doi":"https://doi.org/10.1007/s10957-025-02704-6"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-025-02704-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-025-02704-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-025-02704-6.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10957-025-02704-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009343830","display_name":"Stefania Bellavia","orcid":"https://orcid.org/0000-0002-3691-7836"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Stefania Bellavia","raw_affiliation_strings":["Dipartimento di Ingegneria Industriale, Universit\u00e0 degli Studi di Firenze, Viale G.B. Morgagni 40, 50134, Firenze, Italia"],"raw_orcid":"https://orcid.org/0000-0002-3691-7836","affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 degli Studi di Firenze, Viale G.B. Morgagni 40, 50134, Firenze, Italia","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033409289","display_name":"Greta Malaspina","orcid":"https://orcid.org/0000-0003-2749-148X"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Greta Malaspina","raw_affiliation_strings":["Dipartimento di Ingegneria Industriale, Universit\u00e0 degli Studi di Firenze, Viale G.B. Morgagni 40, 50134, Firenze, Italia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 degli Studi di Firenze, Viale G.B. Morgagni 40, 50134, Firenze, Italia","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009343830"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":6.4577,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.96390977,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"206","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7348318696022034},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.721047043800354},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.5965487957000732},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5919446349143982},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4935847520828247},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.389704167842865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2909243702888489}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7348318696022034},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.721047043800354},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.5965487957000732},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5919446349143982},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4935847520828247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.389704167842865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2909243702888489},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10957-025-02704-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-025-02704-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-025-02704-6.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:206:y:2025:i:1:d:10.1007_s10957-025-02704-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-025-02704-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:flore.unifi.it:2158/1423303","is_oa":true,"landing_page_url":"https://hdl.handle.net/2158/1423303","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10957-025-02704-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-025-02704-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-025-02704-6.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3827651438","display_name":null,"funder_award_id":"2022N3ZNAX","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G8651597568","display_name":null,"funder_award_id":"P2022J9SNP","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321547","display_name":"China University of Petroleum, Beijing","ror":"https://ror.org/041qf4r12"},{"id":"https://openalex.org/F4320322648","display_name":"Universit\u00e0 degli Studi di Firenze","ror":"https://ror.org/04jr1s763"},{"id":"https://openalex.org/F4320331528","display_name":"Ministero dell'Universit\u00e0 e della Ricerca","ror":null},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410567345.pdf","grobid_xml":"https://content.openalex.org/works/W4410567345.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W156419107","https://openalex.org/W2020732830","https://openalex.org/W2171107890","https://openalex.org/W2340142742","https://openalex.org/W2496298831","https://openalex.org/W2899462220","https://openalex.org/W2963356890","https://openalex.org/W2963433607","https://openalex.org/W2966947530","https://openalex.org/W3044387630","https://openalex.org/W3105504331","https://openalex.org/W3111474949","https://openalex.org/W3121740000","https://openalex.org/W3125055604","https://openalex.org/W3125335477","https://openalex.org/W3187556780","https://openalex.org/W3216340729","https://openalex.org/W4252291168","https://openalex.org/W4399547237","https://openalex.org/W4402176386","https://openalex.org/W6964121856"],"related_works":["https://openalex.org/W2064563243","https://openalex.org/W4250775169","https://openalex.org/W1579561123","https://openalex.org/W167034497","https://openalex.org/W2003581559","https://openalex.org/W2999982809","https://openalex.org/W1973286416","https://openalex.org/W2394452124","https://openalex.org/W1919849228","https://openalex.org/W2384681190"],"abstract_inverted_index":{"Abstract":[0],"Consensus":[1],"based":[2],"optimization":[3,14],"is":[4],"a":[5,61,70,82,117],"derivative-free":[6],"particles-based":[7],"method":[8,20,64],"for":[9],"the":[10,19,25,39,50,57,66,75,94,97,101,106,109,125],"solution":[11,110],"of":[12,18,49,60,74,100,105,120,127],"global":[13],"problems.":[15],"Several":[16],"versions":[17],"have":[21,31],"been":[22,32],"proposed":[23],"in":[24,116],"literature,":[26],"and":[27],"different":[28],"convergence":[29,58],"results":[30,37],"proved.":[33],"However,":[34],"all":[35],"existing":[36],"assume":[38],"objective":[40,76],"function":[41,77],"to":[42,65],"be":[43,79,112],"evaluated":[44],"exactly":[45],"at":[46,81],"each":[47],"iteration":[48],"method.":[51],"In":[52,85],"this":[53],"work,":[54],"we":[55,87],"extend":[56],"analysis":[59],"discrete-time":[62],"CBO":[63],"case":[67],"where":[68],"only":[69],"noisy":[71],"stochastic":[72],"estimator":[73],"can":[78,111],"computed":[80],"given":[83],"point.":[84],"particular":[86],"prove":[88],"that":[89],"under":[90],"suitable":[91],"assumptions":[92],"on":[93],"oracle\u2019s":[95],"noise,":[96],"expected":[98],"value":[99],"mean":[102],"squared":[103],"distance":[104],"particles":[107],"from":[108],"made":[113],"arbitrarily":[114],"small":[115],"finite":[118],"number":[119],"iterations.":[121],"Numerical":[122],"experiments":[123],"showing":[124],"impact":[126],"noise":[128],"are":[129],"also":[130],"given.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
